Chapter Test: Basic Mathematics for Physics - 2 JEE Free MCQs

Two forces, each numerically equal to 5 N, are acting as shown in the fig. Then the resultant is

Shown here are the velocity and acceleration vectors for an object in several different types of motion. In which case is the object slowing down and turning to the right ?

The length of a second's hand in a watch is 1 cm. The change in its velocity in 15 sec is -

A particle travels with constant speed on a circle of radius 3 metre and completes one revolution in 20 second. Starting from origin O, find the magnitude and direction of displacement vector 5 second later -

A conveyor belt of width 10 m is moving along x-axis with speed 4 m/s as shown in the figure. Two points A and B are situated on the conveyor belt. A person want to move from A to B in least time. His speed with respect to belt is 2 m/s. The time taken by the person is –

cos (180 – θ) is equal to -

Which pair of the following forces will never give resultant force of 2 N-

A physical quantity which has a direction -

The resultant of two forces has magnitude 20 N. One of the forces is of magnitude 20 √3 N and makes an angle of 30º with the resultant. Then, the other force must be of magnitude -

Two forces 3N and 2 N are at an angle θ such that the resultant is R. The first force is now increased to 6N and the resultant become 2R. The value of θ is-

A man is swimming directly across a river. River velocity is maximum in middle and decreases as one moves to the bank. The path of man as seen by observer on ground will be -

Which of the following graphs has positive slope (m) and negative intercept (c) on y-axis.

The area of the triangle whose vertices are A (1, –1, 2), B(2, 1, –1) and C (3, –1, 2) is -